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Finding the Fourth Proportional to 9,509.59, 14,265.93 and 2,934.25

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Solution

The fourth proportional to 9,509.59, 14,265.93 and 2,934.25 is: 4,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,509.59 : 14,265.93 = 2,934.25 : x
  2. Step 2: Convert to fraction form
    9,509.59/14,265.93 = 2,934.25/x
  3. Step 3: Cross multiply
    9,509.59x = 14,265.93 × 2,934.25
  4. Step 4: Simplify right side
    9,509.59x = 41,859,805.10
  5. Step 5: Solve for x
    x = 41,859,805.10/9,509.59
  6. Step 6: Final answer
    x = 4,401.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.